The message said: "Lady GaGa's new iPad comes out in three days! So for the next 72 hours we will be hosting a massive giveaway to all the Mother Monster fans.

"Sign up and receive your special Lady GaGa edition iPad in time for the Holidays!"

The hack then directed users to register for the 'giveaway' at a link, which actually just mined their personal details.

Another scam involved a tweet being sent on Lady GaGa's Twitter page, telling her more-than-17m followers: "Monsters, I'm giving away FREE ipad2's to each one of you in the spirit of the holidays :)"

This scam also directed the users to a phishing website that requested their personal information.

After the Twitter and Facebook messages were taken down by page administrators, the 25-year-old tweeted: "Phew. The hacking is over!"

Sophos security researcher Graham Cluley claimed that there have been reports of similar phishing attacks on the Facebook pages of bands Maroon 5 and Blink-182.

"Of course, hitting one of the most popular figures on Facebook has its drawbacks for scammers - it's not as though people aren't going to notice. And within one hour the offending post was removed," he wrote in a blog post yesterday about the Lady GaGa hack.

"However, that wasn't quick enough to stop some people from clicking on the link - in the mistaken belief that they might receive a free iPad from the eccentric singer."

Phishing attacks typically involve users being tricked into handing over their personal information, particularly their email and bank details.

The scam message was quickly removed from Lady GaGa's Twitter page, but data shows that more than 100,000 of her fans followed the links.

Cluley urged celebrities and brands to be careful about security on their social media pages for fear of annoying their 'fans'.

"It is, of course, particularly important that the administrators of popular Facebook pages - which can have many millions of fans - take security seriously to minimise the possibilities of passing a scam on," he said.

"If nothing else, it's not terribly good for the brand to annoy your fans or to put them at risk."

In July, Lady GaGa's official website was targeted by hackers, leading to the names and email addresses of thousands of fans being stolen.